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Finding the Fourth Proportional to 194,692.12, 291,994.14 and 89,409.88

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Solution

The fourth proportional to 194,692.12, 291,994.14 and 89,409.88 is: 134,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,692.12 : 291,994.14 = 89,409.88 : x
  2. Step 2: Convert to fraction form
    194,692.12/291,994.14 = 89,409.88/x
  3. Step 3: Cross multiply
    194,692.12x = 291,994.14 × 89,409.88
  4. Step 4: Simplify right side
    194,692.12x = 26,107,161,018.10
  5. Step 5: Solve for x
    x = 26,107,161,018.10/194,692.12
  6. Step 6: Final answer
    x = 134,094.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.